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So i got this problem in my exam, still trying to figure if its correct.
"A bowl of 10m height is filled with liquid to the 6m level, how much work is requiered to remove the liquid? Density is (ro), which means to just take it as a variable"
heres a picture i made which kind of shows the problem http://imgur.com/fPmVo2Z
the differential for work is, dt= (ro)(gravity)Volume(distance=10-y)
I got an answer of about 1,300(g)(ro) joules... any insight on this?

It would depend on the shape/geometry of the bowl itself. In your original post I didn't see any information pertaining to that. What exactly is the curvature of the bowl? Did the problem state that the shape of the bowl was given by y=x4 ? If so, then yes, the radius of each cross section would be y1/4 . Then dV = pi (y1/4 )2 dy = pi y1/2 dy